How do I set this up in Python?

Milford Suits, Inc. produces mens suits and sport coats. Each suit requires 1.2 hours of cutting time, 0.7 hours of sewing time, uses 6 yards of fabric, and generates $190 of profit. Each sport coat requires 0.8 hours of cutting time, 0.6 hours of sewing time, uses 4 yards of fabric, and contributes $150 in profit. For the next week, MSI has 200 hours of cutting time, 180 hours of sewing time, and 1200 yards of fabric available. At a minimum, MSI must produce at least 100 suits and 75 sport coats to fill its current orders. a. Construct an optimization model for this problem in Python and use it to find the optimal solution and value. b. If MSI could schedule additional overtime for the cutting operation at a cost of $15 per hour, how much overtime should it schedule for cutting, and what would be the net benefit from this overtime? c. If MSI could schedule additional overtime for the sewing operation at a cost of $10 per hour, how much overtime should it schedule for sewing, and what would be the net benefit of this overtime? d. MSI is considering a price increase for the suits. How does the optimal value for this problem change as the profit contribution increases from $190 to $220 per suit?